Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Miniumshelf, write a prgm to find minimum total number of shelves including...

write a prgm to find minimum total number of shelves including the intial one required for loading process

Define constructors-extract and insert operators, For your class to work pr...

For your class to work properly, you'll need to define appropriate constructors, extract and insert operators, and of course arithmetic operators. (If you wanted to use it as a gen

MINIMUM SHELVES, Write a program to find minimum number of shelves

Write a program to find minimum number of shelves

Last ant on rod, There are ''''n'''' ants on a ''''n+1'''' length rod. The ...

There are ''''n'''' ants on a ''''n+1'''' length rod. The ants are numbered from 1 to n and are initially placed at positions starting from position 1 till position n. They are mov

Write a recursive function with cylinders, I need to make a fractal trees i...

I need to make a fractal trees in OpenGL C++ . The method used is to write a recursive function with cylinders of different sizes and angles to create the tree trunk and branches.

Explain the loop statements in computer programming, Explain the Loop State...

Explain the Loop Statements in Computer Programming? 1. C gives you a choice of three kinds of loop, while, do while and for. 2. The while loop remain repeating an action until

Displays the temperature conversion chart on the screen, Write a program th...

Write a program that displays the following temperature conversion chart on the screen as follows below. Hint: c = 5.0/9.0 * (f - 2) C = degrees in Celsius F = degree in F

Program for implementation of a data storage system, Introduction:  This...

Introduction:  This assignment requires a knowledge of variables (integers, char types), loops, conditionals, switch, functions, char arrays, string arrays, number arrays, struc

# Bank Account class, Write a C++ program to test the Bank Account class fo...

Write a C++ program to test the Bank Account class for 10 customers.

#decode the code, #Smugglers are becoming very smart day by day. Now they h...

#Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new techn

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd